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Finding the Fourth Proportional to 193,086,572.80, 289,965,782.40 and 102,387,308.80

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Solution

The fourth proportional to 193,086,572.80, 289,965,782.40 and 102,387,308.80 is: 153,759,091.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,086,572.80 : 289,965,782.40 = 102,387,308.80 : x
  2. Step 2: Convert to fraction form
    193,086,572.80/289,965,782.40 = 102,387,308.80/x
  3. Step 3: Cross multiply
    193,086,572.80x = 289,965,782.40 × 102,387,308.80
  4. Step 4: Simplify right side
    193,086,572.80x = 29,688,816,104,022,400
  5. Step 5: Solve for x
    x = 29,688,816,104,022,400/193,086,572.80
  6. Step 6: Final answer
    x = 153,759,091.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.